<?xml version="1.0" encoding="UTF-8"?><rss version="2.0"
	xmlns:content="http://purl.org/rss/1.0/modules/content/"
	xmlns:dc="http://purl.org/dc/elements/1.1/"
	xmlns:atom="http://www.w3.org/2005/Atom"
	xmlns:sy="http://purl.org/rss/1.0/modules/syndication/"
		>
<channel>
	<title>Comments on: The top five most influential mathematicians</title>
	<atom:link href="http://siyensya.com/2009/04/07/the-top-five-most-influential-mathematicians/feed/" rel="self" type="application/rss+xml" />
	<link>http://siyensya.com/2009/04/07/the-top-five-most-influential-mathematicians/</link>
	<description>Philippine-American Life Through a Scientific Lens</description>
	<lastBuildDate>Fri, 20 Apr 2012 23:43:08 +0000</lastBuildDate>
	<sy:updatePeriod>hourly</sy:updatePeriod>
	<sy:updateFrequency>1</sy:updateFrequency>
	<generator>http://wordpress.org/?v=3.3.2</generator>
	<item>
		<title>By: Marcus Tullius</title>
		<link>http://siyensya.com/2009/04/07/the-top-five-most-influential-mathematicians/comment-page-2/#comment-1283</link>
		<dc:creator>Marcus Tullius</dc:creator>
		<pubDate>Sun, 25 Mar 2012 08:51:09 +0000</pubDate>
		<guid isPermaLink="false">http://siyensya.com/?p=203#comment-1283</guid>
		<description>The title is asking for the most infuential mathematicians. Most great mathematicians have been and are influential because their ideas could generate other great ideas. We must weigh the importance of each math work left behind by those greats.
For example Newton, great in phyisics but not equally great in the math revolution. Summary of Newton&#039;s work from the math history http://www-history.mcs.st-and.ac.uk/Mathematicians/Newton.html:
&quot;Isaac Newton was the greatest English mathematician of his generation. He laid the foundation for differential and integral calculus. His work on optics and gravitation make him one of the greatest scientists the world has known.&quot;
But the integral calculus had been published seven years earlier by Leibnitz! Would be a great provocation to belive that without Newton there will be no calculus today! Proof is so simple knowing that Fermat made calculations similar to the simple ones we make today by using the derivatives. Quote from Wiki:

&quot;In particular, he (n.a.Fermat) is recognized for his discovery of an original method of finding the greatest and the smallest ordinates of curved lines, which is analogous to that of the then unknown differential calculus, and his research into number theory&quot;

In today&#039;s modern math, Archimede also did not produce much, even if for his time was a giant-genius.
Some people made positive comments about Riemann and Galois. These two along with Gauss, Euler, and Cauchy, are the mathematicians who have made revolution in mathematics. 
Dare to imagine Number Theory without Riemann! Or complex function analysis, foundation of geometry, etc.
From Wiki:

&#039;&#039;Riemann&#039;s published works opened up research areas combining analysis with geometry. These would subsequently become major parts of the theories of Riemannian geometry, algebraic geometry, and complex manifold theory. The theory of Riemann surfaces was elaborated by Felix Klein and particularly Adolf Hurwitz. This area of mathematics is part of the foundation of topology, and is still being applied in novel ways to mathematical physics.
Riemann made major contributions to real analysis. He defined the Riemann integral by means of Riemann sums, developed a theory of trigonometric series that are not Fourier series—a first step in generalized function theory—and studied the Riemann–Liouville differintegral.
He made some famous contributions to modern analytic number theory. In a single short paper (the only one he published on the subject of number theory), he introduced the Riemann zeta function and established its importance for understanding the distribution of prime numbers. He made a series of conjectures about properties of the zeta function, one of which is the well-known Riemann hypothesis&quot;
&quot;Riemann&#039;s idea was to introduce a collection of numbers at every point in space (i.e., a tensor) which would describe how much it was bent or curved. Riemann found that in four spatial dimensions, one needs a collection of ten numbers at each point to describe the properties of a manifold, no matter how distorted it is. This is the famous construction central to his geometry, known now as a Riemannian metric.&quot;
&quot;He was also the first to suggest using dimensions higher than merely three or four in order to describe physical reality[2]—an idea that was ultimately vindicated with Einstein&#039;s contribution in the early 20th century.&quot;
Imagine that he lived twenty more years! Dead at 40..what a world!</description>
		<content:encoded><![CDATA[<p>The title is asking for the most infuential mathematicians. Most great mathematicians have been and are influential because their ideas could generate other great ideas. We must weigh the importance of each math work left behind by those greats.<br />
For example Newton, great in phyisics but not equally great in the math revolution. Summary of Newton&#8217;s work from the math history <a href="http://www-history.mcs.st-and.ac.uk/Mathematicians/Newton.html" rel="nofollow">http://www-history.mcs.st-and.ac.uk/Mathematicians/Newton.html</a>:<br />
&#8220;Isaac Newton was the greatest English mathematician of his generation. He laid the foundation for differential and integral calculus. His work on optics and gravitation make him one of the greatest scientists the world has known.&#8221;<br />
But the integral calculus had been published seven years earlier by Leibnitz! Would be a great provocation to belive that without Newton there will be no calculus today! Proof is so simple knowing that Fermat made calculations similar to the simple ones we make today by using the derivatives. Quote from Wiki:</p>
<p>&#8220;In particular, he (n.a.Fermat) is recognized for his discovery of an original method of finding the greatest and the smallest ordinates of curved lines, which is analogous to that of the then unknown differential calculus, and his research into number theory&#8221;</p>
<p>In today&#8217;s modern math, Archimede also did not produce much, even if for his time was a giant-genius.<br />
Some people made positive comments about Riemann and Galois. These two along with Gauss, Euler, and Cauchy, are the mathematicians who have made revolution in mathematics.<br />
Dare to imagine Number Theory without Riemann! Or complex function analysis, foundation of geometry, etc.<br />
From Wiki:</p>
<p>&#8221;Riemann&#8217;s published works opened up research areas combining analysis with geometry. These would subsequently become major parts of the theories of Riemannian geometry, algebraic geometry, and complex manifold theory. The theory of Riemann surfaces was elaborated by Felix Klein and particularly Adolf Hurwitz. This area of mathematics is part of the foundation of topology, and is still being applied in novel ways to mathematical physics.<br />
Riemann made major contributions to real analysis. He defined the Riemann integral by means of Riemann sums, developed a theory of trigonometric series that are not Fourier series—a first step in generalized function theory—and studied the Riemann–Liouville differintegral.<br />
He made some famous contributions to modern analytic number theory. In a single short paper (the only one he published on the subject of number theory), he introduced the Riemann zeta function and established its importance for understanding the distribution of prime numbers. He made a series of conjectures about properties of the zeta function, one of which is the well-known Riemann hypothesis&#8221;<br />
&#8220;Riemann&#8217;s idea was to introduce a collection of numbers at every point in space (i.e., a tensor) which would describe how much it was bent or curved. Riemann found that in four spatial dimensions, one needs a collection of ten numbers at each point to describe the properties of a manifold, no matter how distorted it is. This is the famous construction central to his geometry, known now as a Riemannian metric.&#8221;<br />
&#8220;He was also the first to suggest using dimensions higher than merely three or four in order to describe physical reality[2]—an idea that was ultimately vindicated with Einstein&#8217;s contribution in the early 20th century.&#8221;<br />
Imagine that he lived twenty more years! Dead at 40..what a world!</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: Kevin Smith</title>
		<link>http://siyensya.com/2009/04/07/the-top-five-most-influential-mathematicians/comment-page-2/#comment-1276</link>
		<dc:creator>Kevin Smith</dc:creator>
		<pubDate>Sun, 19 Feb 2012 14:56:38 +0000</pubDate>
		<guid isPermaLink="false">http://siyensya.com/?p=203#comment-1276</guid>
		<description>Rajan,
Thanks for visiting, I like your website with all the division problems.</description>
		<content:encoded><![CDATA[<p>Rajan,<br />
Thanks for visiting, I like your website with all the division problems.</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: Rajan</title>
		<link>http://siyensya.com/2009/04/07/the-top-five-most-influential-mathematicians/comment-page-2/#comment-1275</link>
		<dc:creator>Rajan</dc:creator>
		<pubDate>Fri, 17 Feb 2012 09:23:13 +0000</pubDate>
		<guid isPermaLink="false">http://siyensya.com/?p=203#comment-1275</guid>
		<description>Paul Erdos is my hero!!</description>
		<content:encoded><![CDATA[<p>Paul Erdos is my hero!!</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: Kevin Smith</title>
		<link>http://siyensya.com/2009/04/07/the-top-five-most-influential-mathematicians/comment-page-2/#comment-1271</link>
		<dc:creator>Kevin Smith</dc:creator>
		<pubDate>Thu, 19 Jan 2012 02:25:08 +0000</pubDate>
		<guid isPermaLink="false">http://siyensya.com/?p=203#comment-1271</guid>
		<description>Hi Ninck,
I see what you have to say, but considering the students are only 14 years old, I thought Newton was more influential to this age group as he is has more connections to science and mathematics which are easier to teach at this level. On a purely theoretical note, Riemann has the deeper and more interesting theorem about the nature of the primes and how the number system fits together. 
Kevin</description>
		<content:encoded><![CDATA[<p>Hi Ninck,<br />
I see what you have to say, but considering the students are only 14 years old, I thought Newton was more influential to this age group as he is has more connections to science and mathematics which are easier to teach at this level. On a purely theoretical note, Riemann has the deeper and more interesting theorem about the nature of the primes and how the number system fits together.<br />
Kevin</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: Nick Nazari</title>
		<link>http://siyensya.com/2009/04/07/the-top-five-most-influential-mathematicians/comment-page-2/#comment-1270</link>
		<dc:creator>Nick Nazari</dc:creator>
		<pubDate>Tue, 17 Jan 2012 14:04:36 +0000</pubDate>
		<guid isPermaLink="false">http://siyensya.com/?p=203#comment-1270</guid>
		<description>Despite his genius, the placement of Newton ahead of Riemann is highly questionable. All Newton&#039;s math work would have happened even if he did not touch those subjects. I am sure that most of Riemann&#039;s work would not happen because all he did was revolution.</description>
		<content:encoded><![CDATA[<p>Despite his genius, the placement of Newton ahead of Riemann is highly questionable. All Newton&#8217;s math work would have happened even if he did not touch those subjects. I am sure that most of Riemann&#8217;s work would not happen because all he did was revolution.</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: manan sharma</title>
		<link>http://siyensya.com/2009/04/07/the-top-five-most-influential-mathematicians/comment-page-2/#comment-1268</link>
		<dc:creator>manan sharma</dc:creator>
		<pubDate>Mon, 16 Jan 2012 14:46:05 +0000</pubDate>
		<guid isPermaLink="false">http://siyensya.com/?p=203#comment-1268</guid>
		<description>they were so intilegent and great</description>
		<content:encoded><![CDATA[<p>they were so intilegent and great</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: Kevin Smith</title>
		<link>http://siyensya.com/2009/04/07/the-top-five-most-influential-mathematicians/comment-page-2/#comment-1218</link>
		<dc:creator>Kevin Smith</dc:creator>
		<pubDate>Sun, 13 Nov 2011 16:14:06 +0000</pubDate>
		<guid isPermaLink="false">http://siyensya.com/?p=203#comment-1218</guid>
		<description>Thanks,

Niels Abel is on my next list.</description>
		<content:encoded><![CDATA[<p>Thanks,</p>
<p>Niels Abel is on my next list.</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: venu gopal rao up coming abel</title>
		<link>http://siyensya.com/2009/04/07/the-top-five-most-influential-mathematicians/comment-page-2/#comment-1215</link>
		<dc:creator>venu gopal rao up coming abel</dc:creator>
		<pubDate>Sat, 12 Nov 2011 16:29:40 +0000</pubDate>
		<guid isPermaLink="false">http://siyensya.com/?p=203#comment-1215</guid>
		<description>hey where is abel?</description>
		<content:encoded><![CDATA[<p>hey where is abel?</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: Kevin Smith</title>
		<link>http://siyensya.com/2009/04/07/the-top-five-most-influential-mathematicians/comment-page-2/#comment-1097</link>
		<dc:creator>Kevin Smith</dc:creator>
		<pubDate>Wed, 05 Oct 2011 00:30:55 +0000</pubDate>
		<guid isPermaLink="false">http://siyensya.com/?p=203#comment-1097</guid>
		<description>vishal ku ranjan,
Thanks for visiting. I see you enjoy mathematics also.</description>
		<content:encoded><![CDATA[<p>vishal ku ranjan,<br />
Thanks for visiting. I see you enjoy mathematics also.</p>
]]></content:encoded>
	</item>
	<item>
		<title>By: vishal ku ranjan</title>
		<link>http://siyensya.com/2009/04/07/the-top-five-most-influential-mathematicians/comment-page-2/#comment-1095</link>
		<dc:creator>vishal ku ranjan</dc:creator>
		<pubDate>Tue, 04 Oct 2011 08:29:49 +0000</pubDate>
		<guid isPermaLink="false">http://siyensya.com/?p=203#comment-1095</guid>
		<description>YES THEY WERE GREAT</description>
		<content:encoded><![CDATA[<p>YES THEY WERE GREAT</p>
]]></content:encoded>
	</item>
</channel>
</rss>

<!-- Dynamic Page Served (once) in 1.882 seconds -->

